Trigonometry — Examples (AQA GCSE Maths): Flashcards

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Trigonometry examples
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SOH in SOH CAH TOA

sinθ=OppositeHypotenuse\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}}

CAH in SOH CAH TOA

cosθ=AdjacentHypotenuse\cos \theta = \frac{\text{Adjacent}}{\text{Hypotenuse}}

TOA in SOH CAH TOA

tanθ=OppositeAdjacent\tan \theta = \frac{\text{Opposite}}{\text{Adjacent}}

Finding angles from trig ratios requires

Inverse functions: sin1\sin^{-1}, cos1\cos^{-1}, tan1\tan^{-1}

How to solve isosceles triangle with trig

Split it into right triangles first

Trig ratios in similar triangles

Remain the same

First step in any trig problem

Label the sides relative to the angle

Ratio for adjacent + hypotenuse

Cosine (CAH)

Ratio for opposite + adjacent

Tangent (TOA)

Ratio for opposite + hypotenuse

Sine (SOH)

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